To meet the unique challenges on how to generate, amplify and compensate the multifrequency (MF) power in MF multi-receiver simultaneous wireless power transfer (MF-MR-S-WPT) systems, this paper proposes an innovative and generalized methodology. In proposed methodology, a MF modulation method based on cosine switching frequency modulation (CSFM) technique and a general multi-resonant transmitting tank design method based on circuit synthesis theory are introduced. With the proposed MF modulation method, a standard full-bridge inverter can be used to generate MF power, leading to a simple configuration of transmitting source. Moreover, a modulation degree of freedom can be provided to change the power transfer ratio, achieving power redistribution among receivers though software implementation. With the proposed design method of multi-resonant transmitting tank, the use of complicated multiple harmonic analysis can be avoided and the arbitrary multiple power components at selected resonant frequencies can be effectively amplified and completely compensated. Finally, the effectiveness of proposed methodology is verified theoretically and experimentally. INDEX TERMS Composite compensation, multiple frequency, switching frequency modulation, wireless power transfer CHEN QI (M'19) received the B.S. and Ph.D.